Divide (5x^3-32x^2-36x-9)/(5x+3)

Math
5×3-32×2-36x-95x+3
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of 0.
5x+35×332×236x9
Divide the highest order term in the dividend 5×3 by the highest order term in divisor 5x.
x2
5x+35×332×236x9
Multiply the new quotient term by the divisor.
x2
5x+35×332×236x9
+5×3+3×2
The expression needs to be subtracted from the dividend, so change all the signs in 5×3+3×2
x2
5x+35×332×236x9
5×33×2
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
x2
5x+35×332×236x9
5×33×2
35×2
Pull the next terms from the original dividend down into the current dividend.
x2
5x+35×332×236x9
5×33×2
35×236x
Divide the highest order term in the dividend -35×2 by the highest order term in divisor 5x.
x27x
5x+35×332×236x9
5×33×2
35×236x
Multiply the new quotient term by the divisor.
x27x
5x+35×332×236x9
5×33×2
35×236x
35×221x
The expression needs to be subtracted from the dividend, so change all the signs in -35×2-21x
x27x
5x+35×332×236x9
5×33×2
35×236x
+35×2+21x
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
x27x
5x+35×332×236x9
5×33×2
35×236x
+35×2+21x
15x
Pull the next terms from the original dividend down into the current dividend.
x27x
5x+35×332×236x9
5×33×2
35×236x
+35×2+21x
15x9
Divide the highest order term in the dividend -15x by the highest order term in divisor 5x.
x27x3
5x+35×332×236x9
5×33×2
35×236x
+35×2+21x
15x9
Multiply the new quotient term by the divisor.
x27x3
5x+35×332×236x9
5×33×2
35×236x
+35×2+21x
15x9
15x9
The expression needs to be subtracted from the dividend, so change all the signs in -15x-9
x27x3
5x+35×332×236x9
5×33×2
35×236x
+35×2+21x
15x9
+15x+9
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
x27x3
5x+35×332×236x9
5×33×2
35×236x
+35×2+21x
15x9
+15x+9
0
Since the remander is 0, the final answer is the quotient.
x2-7x-3
Divide (5x^3-32x^2-36x-9)/(5x+3)

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